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Basic Analysis IV : Measure Theory and Integration.
・ISBN 978-1-138-05511-7 hard GB£ 171.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-315-16618-6
| 著者・編者 | Peterson, James K., |
|---|---|
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2020 |
| ページ数 | 500 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-6934＞ |
解説
Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides.
Features
* Can be used as a traditional textbook as well as for self-study
* Suitable for advanced students in mathematics and associated disciplines
* Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions